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G-SRT.1.a Warmup M2-045-A06-V04

Verify that dilations send non-center-passing lines to parallel lines and leave center-passing lines unchanged.

Identify a dilation center from corresponding points

Problem

Corresponding points are \(A(3,1)~\to~A'(4,3)\) and \(B(1,2)~\to~B'(0,5)\). What is the center of the dilation?

Unworked dilation setup showing only the supplied center, source object, target if stated, and scale factor. Open full size
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Four variants of this problem type
Curriculum context
Course
Math II
Standard
G-SRT.1.a
Category
Geometry
Domain
Similarity, Right Triangles, and Trigonometry
Objective
Verify that dilations send non-center-passing lines to parallel lines and leave center-passing lines unchanged.
Problem type
Identify a dilation center from corresponding points